Charge‐induced electromagnetic resonances in nanoparticles

Electromagnetic theories have reproduced the scattering properties of differently shaped particles and successfully been used to characterize numerous systems. However, certain anomalous features remain unexplained that include enhanced extinction when particles are much smaller than the wavelength. Here we explain these features exploiting recent research in electromagnetic scattering theories that suggests incorporating the effect of particle charge results in new physical outcomes that deviate appreciably from what is predicted by electromagnetic interaction from uncharged systems. For electrically charged particles, the resonant excitation of surface modes is governed by excess charges deposited on the particle surface. Charge effects become large when particles are small compared to the incident wavelength, and we show that the electrostatic approximation is not valid for modelling the electromagnetic interaction from such particles. Charge‐induced resonances appear in such systems that can reproduce previously unexplained phenomena, for instance, amplified microwave attenuation observed in sandstorms.

     

A Contactless Impedance Probe for Simple and Rapid Determination of the Ratio of Liquids with Different Permittivities in Binary Mixtures

Simple contactless cells with planar or tubular electrodes have been designed for measurement of the permittivity of solutions. The cells, connected to an integrated circuit of astable multivibrator, respond primarily to the capacitance component of the cell impedance, the multivibrator frequency depends in a defined manner on the solution permittivity and is readily used as the analytical signal in determinations of the ratios of components in binary liquid mixtures; water solution of methanol, ethanol and dioxane have been tested. The response of the cell with planar electrodes satisfies well the simple theoretical model and both the cells provide results with a sufficient sensitivity, a low LOD value (units of %vol) and a good precision (around 1%rel). The cell simplicity, small dimensions, long‐term stability and the possibility of powering them from a battery make them suitable for hand‐held meters. As an example of application in practice, the content of ethanol was determined in the car fuel petrol.     

Cliques in Steiner systems

A partial Steiner (k,l)-system is a k-uniform hypergraph with the property that every l-element subset of V is contained in at most one edge of . In this paper we show that for given k,l and t there exists a partial Steiner (k,l)-system such that whenever an l-element subset from every edge is chosen, the resulting l-uniform hypergraph contains a clique of size t. As the main result of this note, we establish asymptotic lower and upper bounds on the size of such cliques with respect to the order of Steiner systems. Research of the second author partially supported by NSERC grant OGP0025112.     

Heterocyclic nickel(II) dithiocarbamates with aromatic thiols as bridging ligands

Binuclear NiII dithiocarbamates, with aromatic monothiols as bridging ligands, of composition [Ni(-L) (Rdtc)]2 [dtc = S2CN, R = C4H8O (morph), C5H10 (pip), C4H8 (pld); HL = thiophenol, 4-methylthiophenol or 2-thionaphthol] and [Ni(-L)(HR1dtc)]2 {R1 = C11H11N2O (aap)} have been prepared and characterized by elemental analyses, i.r. and electron spectroscopy, magnetochemical and conductivity measurements, and thermal analysis. The methods used indicate that the complexes are diamagnetic, complex non-electrolytes with two square-planar NiS4 chromophores.     

Voltammetric determination of 2-mercaptobenzothiazole in a mixture of ethylene glycol + water

Voltammetry employing rotating platinum and disc electrodes proves to be a suitable method for determining 2-mercaptobenzothiazole in the mixture ethylene glycol + water in the relatively large concentration range 0.005–1% (i.e. approximately 3 × 10^?4 ?6 × 10^?2 mol 1^?1).The shapes of the voltammetric curves of thiol on both electrodes are essentially identical. During the gradual anodic polarization of the electrodes thiol is oxidized to a disulphide and adsorbed on the electrode surface, which is not accompanied by a conspicuous peak. In the more positive regions of the potential the next anodic process takes place:

manifested by the formation of an anodic peak.The calibration graphs are based on the linear dependence of the current of anodic peak I_A on the thiol concentration.In all cases the use of the rotating platinum electrodes proves to be more advantageous. The results are time reproducible, the determination requires no treatment of samples and requires approximately 15 min.     

Neighboring group participation and rearrangement in hypobromous acid addition to 10β-vinyl-cholestanes

Hypobromous acid addition to the diol $\text{Ia}$ yields two epimeric dibromo 6β,19a-epoxides $\text{III}$ and $\text{IV}$ in a 83:17 ratio. Under the same conditions the 6β-acetoxy derivative $\text{Ib}$ gives three products: $\text{III}$ (46%), its epimer $\text{VII}$ (5%) and the spyrocyclic ketone $\text{V}$ (49%).     

Chemie der Seltenerdmetalle, 12. Mitt.: pH-metrische Bestimmung des SystemsLn 3+−H4 T−KOH im sauren Bereich

Zusammenfassung Auf Grund von pH-Messungen wurden die erste und zweite Dissoziationskonstante der Weinsäure und Dissoziationskonstanten der KomplexionenLnH₂ T ⁺,Ln ₂H₂ T ⁴⁺,Ln(H₂ T)₂-undLnHT bestimmt.

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The first and second constant of dissociation of tartaric acid, and the constants of dissociation of the complex ionsLnH₂ T ⁺,Ln ₂H₂ T ⁴⁺,Ln(H₂ T)₂- andLnHT were determined, making use of p_H-measurements.

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Zugl. 30. Mitt. der Reihe: Koordinationsverbindungen mit organischen Hydroxysäuren.

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Ln ³⁺=La³⁺, Ce³⁺.

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H₄ T=C₄H₆O₆.